First, let's start by evaluating the value of [tex]\( \frac{1}{\sqrt{2}} \)[/tex] where [tex]\( \sqrt{2} \)[/tex] is approximately 1.414.
1. Calculate [tex]\( \frac{1}{\sqrt{2}} \)[/tex]:
[tex]\[
\frac{1}{\sqrt{2}} \approx \frac{1}{1.414}
\][/tex]
Using division, we get:
[tex]\[
\frac{1}{1.414} \approx 0.707
\][/tex]
2. Add the result to [tex]\( \pi \)[/tex]:
[tex]\( \pi \)[/tex] is given as approximately 3.141.
Now, we need to add these two values:
[tex]\[
0.707 + 3.141
\][/tex]
3. Perform the addition:
[tex]\[
0.707 + 3.141 = 3.848
\][/tex]
4. Round the result to three decimal places:
The sum 3.848 is already rounded to three decimal places.
Therefore, the value of [tex]\( \frac{1}{\sqrt{2}} + \pi \)[/tex] up to three decimal places is:
[tex]\[
3.848
\][/tex]
